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Unconventional features of relativistic Dirac/Weyl quasi-particles in topological materials are most evidently manifested in the 2D quantum Hall effect (QHE), whose variety is further enriched by their spin and/or valley polarization.…

Recent transport experiments have revealed the activation of longitudinal magnetoresistance of Weyl semimetals in the quantum limit, suggesting the breakdown of chiral anomaly in a strong magnetic field. Here we provide a general mechanism…

Mesoscale and Nanoscale Physics · Physics 2017-11-23 Ching-Kit Chan , Patrick A. Lee

Multi-band touchings together with the emergence of fermions exhibiting linear dispersions have recently been predicted and realized in various materials. We first investigate the Adler-Bell-Jackiw chiral anomaly in these multi-band…

Mesoscale and Nanoscale Physics · Physics 2017-05-05 Motohiko Ezawa

While the discovery of Dirac and Weyl type excitations in electronic systems is a major breakthrough in recent condensed matter physics, finding appropriate materials for fundamental physics and technological applications, is an…

Materials Science · Physics 2017-03-09 R. Singha , A. Pariari , B. Satpati , P. Mandal

Dirac fermions in condensed matter physics hold great promise for novel fundamental physics, quantum devices and data storage applications. IV-VI semiconductors, in the inverted regime, have been recently shown to exhibit massless…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 B. A. Assaf , T. Phuphachong , V. V. Volobuev , A. Inhofer , G. Bauer , G. Springholz , L. A. de Vaulchier , Y. Guldner

There is a need for compact, dynamically tunable nonreciprocal optical elements to enable on-chip-compatible optical isolators and more efficient radiative energy transfer systems. Plasmon Fizeau drag, the drag of electrical current on…

Mesoscale and Nanoscale Physics · Physics 2024-02-14 Morgan G. Blevins , Svetlana V. Boriskina

We show that a class of compounds with $I$4/$mcm$ crystalline symmetry hosts three-dimensional semi-Dirac fermions. Unlike the known two-dimensional semi-Dirac points, the degeneracy of these three-dimensional semi-Dirac points is not…

Strongly Correlated Electrons · Physics 2022-01-07 Narayan Mohanta , Jong Mok Ok , Jie Zhang , Hu Miao , Elbio Dagotto , Ho Nyung Lee , Satoshi Okamoto

Recent breakthrough in search for the analogs of fundamental particles in condensed matter systems lead to experimental realizations of 3D Dirac and Weyl semimetals. Weyl state can be hosted either by non-centrosymmetric or magnetic…

Topological semimetals, such as Dirac, Weyl, or line-node semimetals, are gapless states of matter characterized by their nodal band structures and surface states. In this work, we consider layered (topologically trivial) insulating systems…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Saavanth Velury , Taylor L. Hughes

Semi-Dirac fermions are massless in one direction and massive in the perpendicular directions. Such quasiparticles have been proposed in various contexts in condensed matter. Using first principles calculations, we identify a pair of…

Materials Science · Physics 2025-11-13 Alaska Subedi , Kamran Behnia

We report systematic theoretical studies of the inverse Faraday effect in materials with massless Dirac fermions, both in two dimensions such as graphene and surface states in topological insulators, and in three dimensions such as Dirac…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 I. D. Tokman , Qianfan Chen , I. A. Shereshevsky , V. I. Pozdnyakova , Ivan Oladyshkin , Mikhail Tokman , Alexey Belyanin

In a three-dimensional Dirac semimetal the time reversal symmetry (TRS) or the inversion symmetry (IS) is not broken. With either of these symmetries broken, the Dirac points in the three-dimensional band structure split up into pairs of…

Mesoscale and Nanoscale Physics · Physics 2024-06-13 Udai Prakash Tyagi , Partha Goswami

Weyl fermions are a new ingredient for correlated states of electronic matter. A key difficulty has been that real materials also contain non-Weyl quasiparticles, and disentangling the experimental signatures has proven challenging. We use…

New developments in the field of topological matter are often driven by materials discovery, including novel topological insulators, Dirac semimetals and Weyl semimetals. In the last few years, large efforts have been performed to classify…

Most electronic properties of metals are determined solely by the low-energy states around the Fermi level, and for topological metals/semimetals, these low-energy states become distinct because of their unusual energy dispersion and…

We investigate the topological properties of modified Dirac Hamiltonians with an altermagnetic mass term and reveal a novel mechanism for realizing altermagnetic Weyl semimetals. Unlike the conventional Wilson mass, the altermagnetic mass…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Yu-Hao Wan , Cheng-Ming Miao , Peng-Yi Liu , Qing-Feng Sun

We study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. In the clean system, the density of states vanishes quadratically at the Dirac point. Disorder is known to be perturbatively irrelevant, and…

Statistical Mechanics · Physics 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

We consider the role of coordinate dependent tetrads ("Fermi velocities"), momentum space geometry, and torsional Landau levels (LLs) in condensed matter systems with low-energy Weyl quasiparticles. In contrast to their relativistic…

Strongly Correlated Electrons · Physics 2021-01-04 Sara Laurila , Jaakko Nissinen

The theoretical dispersion of higher fold excitations are typically governed by space group symmetry. However, physical factors affecting local structural and electronic environment such as atomic arrangement, orbital overlaps, etc.,…

Materials Science · Physics 2026-04-07 Roopam Pandey , Sudhir K Pandey

Most theoretical studies of tunneling in Dirac and the closely related Weyl semimetals have modeled these materials as single Weyl nodes described by the three-dimensional Dirac equation $H = v_f \vec{p}\cdot\vec{\sigma}$. The influence of…

Mesoscale and Nanoscale Physics · Physics 2017-07-04 Zhuo Bin Siu , Can Yesilyurt , Mansoor B. A. Jalil , Seng Ghee Tan
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